The topic of this book is the following optimisation problem: given a set of discrete variables and a set of functions, each depending on a subset of the variables, minimise the sum of the functions over all variables. This fundamental research problem has been studied within several different contexts of discrete mathematics, computer science and artificial intelligence under different names: Min-Sum problems, MAP inference in Markov random fields (MRFs) and conditional random fields (CRFs), Gibbs energy minimisation, valued constraint satisfaction problems (VCSPs), and, for two-state variables, pseudo-Boolean optimisation.
In this book the author presents general techniques for analysing the structure of such functions and the computational complexity of the minimisation problem, and he gives a comprehensive list of tractable cases. Moreover, he demonstrates that the so-called algebraic approach to VCSPs can be used not only for the search for tractable VCSPs, but also for other questions such as finding the boundaries to the applicability of certain algorithmic techniques.
The book is suitable for researchers interested in methods and results from the area of constraint programming and discrete optimisation.
| ISBN: | 9783642434563 |
| Publication date: | 9th November 2014 |
| Author: | Stanislav Zivný |
| Publisher: | Springer an imprint of Springer Berlin Heidelberg |
| Format: | Paperback |
| Pagination: | 170 pages |
| Series: | Cognitive Technologies |
| Genres: |
Mathematical theory of computation Maths for computer scientists Mathematical logic Mathematical foundations Artificial intelligence |
The topic of this book is the following optimisation problem: given a set of discrete variables and a set of functions, each depending on a subset of the variables, minimise the sum of the functions over all variables. This fundamental research problem has been studied within several different contexts of discrete mathematics, computer science and artificial intelligence under different names: Min-Sum problems, MAP inference in Markov random fields (MRFs) and conditional random fields (CRFs), Gibbs energy minimisation, valued constraint satisfaction problems (VCSPs), and, for two-state variables, pseudo-Boolean optimisation.In this book the author presents general techniques for analysing the structure of such functions and the computational complexity of the minimisation problem, and he gives a comprehensive list of tractable cases.
The Complexity of Valued Constraint Satisfaction Problems features in the following genres: Mathematical theory of computation, Maths for computer scientists, Mathematical logic, Mathematical foundations, Artificial intelligence
Paperback, Hardback. Not Available.
The Complexity of Valued Constraint Satisfaction Problems was written by Stanislav Zivný and published by Springer an imprint of Springer Berlin Heidelberg
The Complexity of Valued Constraint Satisfaction Problems has 170 pages
Yes it is part of Cognitive Technologies series